This thread is the exact reason why most people don't want their child on youtube. I would be horrified to find a big discussion by people I don't know about my child.
Absolutely. I'm so paranoid I won't post pictures of my kids in my FB profile, and I check my privacy settings every few months to make sure everything is still locked down to only my friends. Aside from not wanting to invite strangers to discuss my child online, I'd be concerned about the lunatics out there who might develop an unhealthy interest in my child if I posted a bunch of videos with identifying info.